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Finding the Fourth Proportional to 1,067.41, 1,599.75 and 481.78

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Solution

The fourth proportional to 1,067.41, 1,599.75 and 481.78 is: 722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.41 : 1,599.75 = 481.78 : x
  2. Step 2: Convert to fraction form
    1,067.41/1,599.75 = 481.78/x
  3. Step 3: Cross multiply
    1,067.41x = 1,599.75 × 481.78
  4. Step 4: Simplify right side
    1,067.41x = 770,727.56
  5. Step 5: Solve for x
    x = 770,727.56/1,067.41
  6. Step 6: Final answer
    x = 722.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.